Random Burnside Groups

2017/05/23 by Olga Kharlampovich, Kharlampovich, O., Alexei Myasnikov +1
Computer Science · Mathematics · #20P05 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1705.08060

openalex publication_date 2017/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that there exists a positive number M₀ such that for any odd M≥ M₀ a random group of exponent M with overwhelming probability is infinite in the few relator model and in the density d model for small d.

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